Vorticity
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nan 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 11 12 12 11 9 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 7 6 2 -1 1 5 7 6 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 2 2 2 2 2 nan
nan 6 5 4 4 4 4 4 4 5 5 5 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 12 13 12 10 7 6 6 7 7 7 6 6 6 6 6 6 6 5 6 7 7 5 2 0 2 5 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 nan
nan 5 4 4 4 4 4 4 4 5 5 5 5 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 11 13 14 12 9 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 4 1 -1 1 5 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 nan
nan 3 3 3 3 3 3 3 4 5 5 5 5 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 8 11 13 14 12 9 8 7 7 7 7 7 7 7 7 6 7 7 6 6 6 6 5 2 -1 -2 2 6 7 7 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 nan
nan 3 2 3 2 2 2 3 4 5 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 8 10 12 11 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 5 2 -2 -1 3 6 7 7 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 6 6 6 nan
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nan 5 4 5 5 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 11 10 10 10 10 10 11 11 11 11 12 13 15 18 21 22 20 16 13 11 9 9 9 10 11 13 14 16 17 18 20 19 16 13 11 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 4 3 3 4 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
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nan 6 7 7 7 7 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 9 10 9 9 8 7 7 6 7 7 7 8 8 8 9 9 9 9 9 9 10 11 11 10 9 7 6 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 12 14 14 14 13 11 9 7 5 5 6 8 10 11 12 13 14 15 16 16 16 16 15 14 14 13 12 12 11 10 10 9 9 9 8 nan
nan 6 6 6 6 7 9 10 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 9 9 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 6 5 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 10 13 15 15 14 13 11 9 6 3 2 3 4 6 8 9 9 10 10 11 13 14 15 16 15 15 15 14 14 13 12 12 11 10 9 9 9 nan
nan 6 6 6 7 8 9 10 11 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 8 9 10 10 9 8 7 6 6 6 7 8 8 9 9 9 9 9 8 8 8 9 9 9 8 7 6 5 4 4 5 6 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 9 8 7 8 8 9 11 14 15 14 12 10 8 5 3 1 1 2 3 5 6 6 7 7 8 9 10 11 12 13 14 14 14 15 15 14 14 13 12 12 11 10 9 nan
nan 6 6 6 6 7 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 9 9 8 7 7 6 6 6 7 7 8 9 10 10 10 9 7 6 6 7 7 8 9 9 9 9 9 9 8 7 7 8 9 10 9 7 6 5 5 5 5 6 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 9 8 7 8 8 8 8 10 11 11 11 9 7 4 2 0 -0 0 2 4 5 6 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 13 13 12 11 10 nan
nan 7 7 6 6 7 8 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 9 10 10 9 8 7 6 7 6 7 7 9 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 8 8 7 7 7 9 10 10 8 5 5 5 5 5 5 7 8 8 8 8 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 9 7 5 2 1 0 1 2 4 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 11 nan
nan 7 6 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 9 10 11 10 8 7 7 7 7 7 8 9 10 11 10 9 7 7 7 8 9 9 10 10 9 9 8 7 6 6 7 9 11 11 9 6 4 4 5 5 6 6 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 8 8 8 8 9 9 8 8 8 9 9 7 6 5 4 3 2 3 5 6 7 7 7 7 8 8 9 9 9 8 8 7 6 6 5 5 5 6 7 8 9 10 11 11 11 nan
nan 7 7 7 7 7 8 9 9 9 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 10 9 9 9 10 10 10 9 7 7 6 7 8 9 10 11 10 10 8 7 7 8 9 10 10 10 10 10 8 7 6 6 7 9 11 12 10 7 4 3 3 4 5 6 7 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 9 8 8 9 9 9 9 9 8 8 7 6 6 6 6 5 5 6 7 7 7 7 8 8 8 9 9 10 9 8 8 7 6 5 5 5 5 5 6 6 7 8 9 9 10 nan
nan 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 10 9 8 7 8 9 10 11 11 11 11 9 7 6 6 8 9 11 12 11 8 5 3 2 3 5 6 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 8 9 9 9 9 9 10 10 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 9 nan
nan 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 6 6 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 9 8 8 8 9 10 11 11 12 11 10 8 7 7 8 10 11 11 10 9 6 3 2 2 4 5 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 9 9 8 7 6 5 6 6 7 8 8 8 9 9 9 9 9 9 10 12 13 13 12 10 8 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 nan
nan 8 8 7 7 6 7 8 9 9 9 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 8 8 8 9 10 11 12 12 11 10 9 7 7 8 10 12 12 10 8 6 4 3 2 3 5 7 8 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 10 10 9 9 8 6 5 5 6 7 8 8 8 8 8 9 9 9 9 10 11 13 15 17 16 13 9 6 4 4 5 6 7 8 8 8 8 8 8 8 9 9 8 8 nan
nan 8 8 8 7 6 6 8 8 9 9 9 8 8 7 7 7 7 6 6 7 8 8 8 8 8 9 10 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 8 8 7 8 9 11 11 11 11 10 9 8 7 8 11 13 14 12 8 5 3 2 2 3 5 7 8 9 9 9 9 8 7 8 8 9 8 7 7 8 8 9 9 9 9 9 9 9 8 7 6 5 6 7 8 8 8 8 8 8 8 8 8 8 9 10 11 13 15 16 14 10 4 0 1 4 5 7 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 9 8 8 7 7 7 7 8 9 9 9 8 8 8 7 7 7 7 6 7 8 8 8 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 8 8 8 8 9 10 11 11 11 10 9 8 8 9 11 13 15 15 10 4 2 1 1 2 5 7 8 9 9 9 9 8 7 7 8 9 9 8 8 7 8 8 9 9 9 8 9 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 7 7 8 8 9 10 11 11 11 7 2 -4 -5 -0 4 6 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 9 8 8 7 7 7 7 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 7 7 8 8 8 8 8 8 8 9 10 10 11 11 10 9 8 8 8 9 12 14 15 12 6 1 -0 -0 2 4 7 9 10 10 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 8 9 8 7 2 -5 -9 -4 1 6 8 9 9 8 7 8 8 9 9 9 9 9 9 9 nan
nan 9 8 8 8 7 7 7 7 8 9 9 9 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 7 8 8 9 9 8 8 7 8 9 10 11 11 10 9 8 8 8 9 10 11 12 11 7 1 -1 -1 1 4 7 9 10 10 9 8 8 7 7 7 8 9 9 10 10 9 8 8 8 8 8 7 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 9 8 8 7 7 8 8 8 8 7 4 -1 -6 -5 1 7 9 10 9 8 7 7 8 8 9 9 8 8 8 9 9 nan
nan 9 9 9 8 8 7 7 7 8 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 7 8 8 9 10 10 9 7 7 7 9 10 11 10 10 9 9 9 9 9 9 10 9 6 2 -1 -1 1 4 7 10 11 11 9 8 8 7 7 7 8 8 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 7 8 9 9 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 6 3 -2 -3 3 9 13 13 11 10 9 8 8 8 8 8 8 8 8 8 9 10 nan
nan 9 9 9 8 8 8 7 7 8 9 9 10 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 8 10 10 10 9 7 7 7 8 9 10 10 10 10 9 9 9 8 8 8 6 3 1 0 2 5 8 10 12 11 10 8 8 7 7 7 8 8 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 4 3 6 13 17 17 14 12 11 9 8 7 7 7 8 8 8 8 9 9 11 nan
nan 8 8 8 8 8 8 8 8 9 9 10 10 10 9 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 7 7 7 8 8 8 9 10 10 10 8 7 7 8 8 8 9 9 9 9 9 9 8 8 7 6 4 3 2 3 5 7 10 11 11 10 8 8 8 8 8 8 7 8 9 10 10 9 8 7 7 6 7 7 7 8 9 8 8 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 8 7 7 7 7 8 8 8 9 13 17 18 16 14 12 11 9 7 6 6 6 7 8 9 9 10 11 11 nan
nan 8 8 8 8 8 8 8 9 9 10 10 10 9 9 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 8 7 7 7 7 7 8 9 9 9 9 9 8 7 7 9 9 9 8 8 8 8 8 8 8 7 7 5 4 3 3 5 7 9 10 10 9 8 7 8 8 8 9 8 8 8 9 10 9 8 7 6 7 7 7 7 8 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 9 9 10 12 13 13 12 11 11 10 7 5 4 5 6 7 8 9 10 11 12 12 nan
nan 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 8 8 8 7 7 7 8 8 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 8 9 10 9 9 8 7 7 7 8 8 7 6 5 4 4 5 7 9 10 10 8 6 6 7 8 9 9 9 9 8 8 9 9 9 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 9 8 7 5 3 3 4 5 6 7 9 10 12 12 11 nan
nan 8 8 8 9 9 8 8 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 9 9 8 8 7 7 8 8 8 7 6 6 5 5 6 8 9 9 8 6 5 6 8 9 9 9 9 9 8 8 8 8 8 7 8 8 8 7 7 7 8 7 7 8 8 8 8 8 8 8 7 8 8 8 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 8 7 6 5 4 4 2 0 -1 1 3 4 6 7 8 10 11 11 10 nan
nan 8 8 8 9 9 8 8 8 9 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 9 9 10 9 9 8 7 7 8 8 9 9 8 8 7 7 7 7 7 8 9 8 8 6 6 7 9 10 9 9 9 8 8 8 8 8 7 7 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 5 3 1 -0 -1 -3 -6 -4 -0 3 5 6 6 8 9 9 9 8 nan
nan 8 8 8 8 9 8 8 8 9 9 10 9 9 8 7 6 7 7 8 8 8 7 7 7 8 8 8 9 8 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 8 8 8 9 8 8 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 8 8 8 9 8 8 8 8 7 7 6 6 7 7 8 8 8 9 9 9 8 6 5 3 2 1 -1 -3 -3 -1 2 4 5 6 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 9 8 7 6 6 7 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 7 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 7 5 5 5 4 5 5 6 7 7 7 7 7 7 nan
nan 9 8 8 8 8 9 8 8 8 9 9 10 10 8 7 6 6 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 7 7 7 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 11 12 14 14 12 9 6 4 3 4 5 6 7 8 9 9 9 8 nan
nan 8 8 8 8 8 9 9 8 8 9 9 10 10 8 7 6 6 7 7 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 8 7 8 8 8 6 5 6 6 7 7 8 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 8 8 9 10 10 9 9 9 9 9 10 10 10 11 12 13 12 8 4 1 0 1 3 5 7 8 9 10 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
40 39 61 86 81 82 78 83 83 83 85 89 91 87 75 60 49 34 28 24 17 14 16 20 21 23 26 26 21 17 12 12 14 15 15 12 7 4 5 3 1 3 7 17 25 32 40 47 50 49 46 44 41 28 19 14 9 8 7 9 14 19 19 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 1 3 7 11 15 18 20 19 13 7 3 1 0 0 0 0 1 1 1 0 3 11 22 27 33 39 43 49 68 104 155 215 235 216 197 177 156 132 111 89 62 42 38
46 42 60 91 103 98 99 106 108 107 107 110 112 103 83 63 43 31 29 26 18 12 10 10 9 8 10 12 5 6 4 5 6 6 6 6 5 6 7 2 1 2 4 9 14 19 24 31 39 44 48 52 54 43 34 27 22 19 19 20 23 24 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 15 15 18 13 9 6 3 1 0 0 0 0 0 1 0 0 2 7 15 24 32 36 37 44 61 84 114 133 137 141 144 136 119 96 70 40 30 30
77 80 119 140 147 134 132 128 126 126 128 138 145 131 99 64 37 31 27 20 17 16 14 13 11 8 8 13 6 4 2 3 3 3 3 3 3 5 6 2 2 4 8 10 10 11 14 19 24 31 38 44 51 51 47 43 38 34 33 34 35 31 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 9 10 9 8 7 3 1 1 1 0 0 0 0 1 0 0 3 8 14 23 30 34 40 41 41 50 69 89 107 119 119 106 81 63 35 24 21
183 221 274 235 192 158 132 117 111 117 132 151 176 170 122 71 43 31 24 19 18 18 17 17 17 16 15 16 14 10 6 4 3 3 3 3 2 3 6 6 3 3 6 8 9 9 9 13 16 20 27 35 41 46 50 51 48 43 43 45 44 36 17 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 5 5 5 4 3 2 1 1 0 0 0 0 0 0 0 1 4 9 15 26 33 32 30 28 41 66 86 100 109 98 71 57 36 22 18
381 405 346 260 200 151 112 87 71 78 110 158 206 208 159 100 54 30 21 19 17 14 13 14 14 17 16 17 18 15 11 7 5 4 3 3 3 5 7 6 5 6 7 7 9 10 9 12 14 14 19 26 32 36 43 47 47 46 47 50 44 27 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 1 2 7 13 21 31 33 29 33 52 72 84 91 76 56 41 27 16 12
466 420 320 236 182 135 94 59 36 38 84 164 212 194 161 117 58 27 18 15 13 11 9 11 13 15 15 16 18 16 13 12 11 9 7 7 7 8 9 11 11 10 10 8 9 10 9 9 11 10 14 18 20 24 33 39 41 42 46 49 39 26 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 3 4 3 2 1 1 0 0 0 0 0 0 1 1 2 7 14 24 28 27 26 26 36 43 47 52 44 30 20 15 12 10
338 280 210 161 126 87 48 24 12 24 77 138 110 94 87 68 35 19 12 9 8 7 6 7 10 11 12 14 15 16 17 20 21 18 12 9 7 10 13 15 15 14 12 11 10 10 7 5 5 8 8 10 12 17 24 31 32 35 42 48 38 24 16 11 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 2 5 6 5 3 2 1 1 1 1 0 0 0 1 2 4 9 17 23 24 20 14 25 28 30 28 23 14 7 7 7 7
149 129 102 86 64 40 19 6 3 16 55 77 20 18 20 18 10 6 5 4 6 7 6 6 9 12 13 13 12 14 17 22 33 42 38 18 16 15 14 15 17 17 15 13 12 12 7 3 2 3 2 5 8 11 16 21 24 29 36 44 37 26 19 15 11 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 2 3 4 3 3 2 1 1 1 1 1 2 3 3 3 5 9 18 27 23 18 22 25 25 23 18 8 2 4 6 8
35 36 35 35 27 14 4 1 1 7 20 22 1 1 2 3 3 3 3 4 6 7 8 10 12 13 13 13 12 16 24 31 43 72 98 46 36 26 19 13 12 15 16 15 14 14 8 4 2 2 1 1 3 5 9 15 14 20 27 33 30 23 17 13 10 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 4 3 1 2 2 2 0 0 0 0 0 0 1 2 3 3 3 2 2 2 2 2 3 4 5 4 5 7 11 19 29 32 33 32 32 32 31 25 12 7 6 8 10
8 5 11 16 15 9 4 3 2 3 4 2 1 2 2 4 4 3 4 6 7 9 10 13 15 16 18 22 23 25 31 35 42 66 109 116 104 78 49 27 18 16 15 13 12 13 9 7 5 2 1 0 1 1 2 9 10 16 19 21 23 18 11 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 6 4 3 4 5 4 1 1 1 1 0 0 0 1 2 3 3 3 2 3 3 3 4 6 7 7 7 8 8 13 23 32 39 45 51 51 42 36 27 19 14 12 11
17 16 19 21 20 18 16 14 13 12 9 8 9 12 18 25 21 14 13 12 11 14 20 26 27 26 31 43 41 28 29 34 32 48 73 96 129 134 105 72 52 35 22 13 10 10 8 7 7 4 2 3 0 0 1 4 8 15 19 19 22 17 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 8 8 8 9 8 5 2 2 2 1 0 0 0 2 3 4 3 3 4 3 4 5 6 7 8 8 8 9 13 20 28 37 49 61 58 52 50 40 26 18 15 13
33 30 30 30 30 30 31 33 35 39 42 40 47 52 59 72 69 50 34 24 26 33 50 61 59 49 45 47 39 22 17 20 22 37 49 55 84 112 115 108 96 66 36 20 15 11 9 7 7 4 4 6 2 0 2 4 5 13 20 21 19 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 8 9 11 11 11 8 4 2 2 2 2 1 0 0 2 4 9 9 6 4 4 4 6 7 8 8 9 11 15 19 26 36 48 56 54 49 55 42 29 24 22 19
47 43 43 46 47 48 49 55 66 83 100 107 116 121 121 123 106 68 46 46 58 77 105 100 100 85 61 41 27 18 12 10 13 23 31 33 41 51 56 58 59 56 38 26 22 17 13 8 6 5 4 4 3 0 2 7 7 14 20 20 16 12 6 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 5 6 6 9 10 11 9 6 4 4 5 4 3 1 1 3 4 7 7 5 4 3 3 6 7 8 8 9 12 16 19 25 38 52 61 62 55 46 39 33 31 29 21
59 57 62 77 87 82 71 71 82 113 142 165 174 180 170 154 136 116 104 109 117 117 125 98 112 112 86 58 34 18 11 7 8 11 15 20 21 21 21 18 17 20 24 20 19 17 16 13 8 5 4 5 5 3 2 5 12 19 21 17 13 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 8 9 9 9 8 8 7 7 7 5 3 2 4 4 4 5 6 5 3 4 7 8 8 8 9 11 14 18 26 40 60 74 77 72 62 50 40 32 35 29
68 91 143 172 167 151 122 82 75 92 116 141 167 199 214 202 186 194 217 212 147 75 48 49 69 81 76 58 32 16 7 4 6 5 6 7 7 6 7 8 9 11 13 10 9 10 14 17 16 8 6 7 6 5 4 4 10 17 20 18 4 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 7 8 9 9 10 9 9 9 9 9 7 5 4 4 4 5 6 6 3 5 7 8 8 8 10 13 15 17 24 37 56 74 88 92 84 71 57 42 39 40
102 183 297 287 218 235 225 115 63 48 67 108 173 242 286 291 274 272 273 256 151 79 47 37 39 44 42 34 27 21 12 11 12 12 11 10 9 8 6 7 6 6 6 5 5 5 8 15 19 9 9 9 7 5 3 2 4 7 10 8 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 7 8 8 9 9 10 10 10 9 10 10 11 10 7 5 5 5 4 5 5 4 5 7 9 8 7 9 13 15 16 19 30 48 68 86 97 100 95 86 72 59 54
212 303 322 213 142 215 240 113 29 21 48 99 165 234 285 295 265 242 229 188 142 98 64 50 46 39 32 31 27 28 22 19 18 17 17 16 15 13 5 5 4 3 3 3 3 2 3 7 13 7 7 6 5 2 0 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 12 14 13 12 12 14 12 11 10 9 9 9 9 9 7 6 5 4 6 7 6 7 8 9 9 8 8 11 13 15 16 23 38 58 78 92 102 110 113 103 79 59
273 324 217 64 40 91 137 91 40 39 69 105 142 180 208 208 176 146 123 104 84 61 44 39 36 28 24 27 24 26 23 20 19 18 17 14 12 12 8 5 2 2 4 6 5 1 0 1 3 2 0 1 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 4 8 13 21 27 27 24 22 23 28 26 22 17 12 11 11 10 10 10 9 6 4 6 8 7 7 7 9 9 9 7 9 11 14 16 18 26 44 69 85 106 123 133 134 117 93
151 135 82 29 16 27 69 118 173 158 161 177 185 177 159 138 109 79 55 41 30 21 14 11 11 13 17 21 24 25 24 23 24 23 21 21 21 17 17 16 20 32 34 31 30 19 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 8 13 17 21 27 30 31 34 35 40 45 41 40 40 32 28 28 23 20 18 24 22 11 8 7 7 7 8 8 8 11 11 11 12 14 16 17 18 24 37 71 115 141 161 169 157 138
27 29 26 28 34 40 68 144 278 307 287 263 238 201 159 129 106 78 46 27 17 12 10 11 13 17 21 26 31 33 33 37 40 41 40 40 40 38 42 51 71 94 89 68 56 47 39 18 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 14 17 21 22 24 29 36 47 58 57 59 66 56 56 64 60 44 39 42 42 39 34 45 35 16 8 7 8 7 8 9 11 13 12 12 13 15 17 18 19 28 58 93 133 162 171 168 164
6 8 17 32 47 43 70 123 252 338 328 274 221 180 150 120 100 75 50 31 22 19 21 23 25 28 32 35 41 44 50 58 67 71 71 69 62 69 89 90 92 95 82 57 38 27 14 4 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 13 22 27 28 29 37 49 61 81 93 95 105 100 93 90 84 70 59 57 58 56 48 53 52 44 30 9 10 7 8 9 10 11 12 12 12 13 15 19 24 21 31 55 89 122 145 165 194
2 2 5 14 26 24 49 122 238 291 257 219 198 158 156 112 90 69 50 41 39 40 40 40 42 45 48 50 55 62 74 89 102 110 114 111 105 117 130 100 64 41 27 16 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 22 29 35 37 38 43 51 62 81 109 121 140 152 150 137 115 109 99 78 69 63 58 57 58 62 62 25 22 18 21 18 12 10 12 13 12 12 14 18 25 26 21 26 46 71 109 143 174
0 0 0 1 3 8 27 114 240 272 207 171 189 145 140 122 113 102 87 79 81 86 85 78 74 76 75 75 81 93 109 127 147 158 166 165 164 163 127 69 25 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 19 25 30 35 39 43 46 48 53 61 75 105 130 158 186 207 223 173 153 149 127 103 83 69 61 60 61 67 62 53 42 38 37 30 17 12 19 18 15 14 15 18 21 20 20 22 30 67 104 144
0 0 0 0 0 2 17 90 209 213 147 136 164 154 152 152 156 157 153 139 130 137 146 137 120 118 119 121 129 150 172 192 219 232 217 225 209 168 97 35 6 0 0 0 0 0 0 0 0 0 0 1 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 20 24 29 35 41 46 53 58 58 62 66 77 100 137 185 235 270 336 321 283 247 205 174 150 118 93 76 68 66 67 83 76 55 47 40 25 16 39 38 28 18 14 14 16 19 20 19 21 40 72 103
0 0 0 0 0 0 7 36 63 71 77 104 159 181 152 117 90 75 76 83 93 114 141 154 153 157 167 181 201 236 270 284 304 321 299 269 205 108 37 8 2 0 0 0 0 0 0 0 0 0 0 2 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 20 25 31 38 44 51 58 64 71 73 75 79 86 103 140 208 296 351 428 464 453 408 339 283 260 218 171 126 101 83 78 102 107 81 67 57 40 31 46 53 45 29 15 21 28 21 23 24 22 26 45 74
0 0 0 0 0 0 1 4 2 8 24 43 59 37 6 0 1 6 5 1 9 34 57 87 133 161 201 231 254 285 315 333 345 351 317 219 125 55 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 17 25 31 38 45 53 61 69 74 81 87 91 93 98 112 145 215 312 387 460 517 561 570 517 433 392 343 276 220 168 124 101 100 107 104 110 104 68 53 45 48 56 52 37 44 48 44 38 37 37 33 32 48
0 0 0 0 0 0 0 0 0 1 3 5 5 2 0 0 1 2 2 1 0 1 10 40 96 128 171 196 204 215 233 255 263 264 222 106 40 15 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 19 24 30 37 44 52 61 68 79 85 92 98 101 103 112 132 161 220 301 382 458 524 587 638 650 608 552 495 397 309 246 192 140 107 99 105 127 128 111 88 64 53 66 72 60 57 55 56 50 49 52 52 48 45
0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 1 1 1 0 1 5 38 65 72 82 85 81 82 95 95 75 26 8 9 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 11 20 26 30 35 42 50 58 67 76 87 97 105 110 113 118 134 166 200 249 314 397 463 499 545 624 685 699 682 647 568 469 372 292 225 167 131 127 131 131 138 131 97 73 89 95 83 66 60 64 65 60 59 59 59 64
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 3 21 22 19 16 14 13 14 18 8 2 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 16 23 31 37 42 48 55 64 73 84 95 104 113 123 135 148 168 204 253 311 370 440 497 530 572 625 673 703 724 725 697 642 556 449 367 291 222 195 178 166 167 162 130 110 120 125 119 87 64 68 78 80 68 62 67 75
3 3 2 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 2 3 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 8 11 15 21 33 45 51 57 64 73 84 95 105 112 120 133 153 178 207 237 284 353 424 493 547 571 585 620 645 685 730 762 770 754 720 637 536 442 358 305 259 218 196 180 156 144 140 141 144 128 96 77 81 99 82 73 81 95
17 15 11 8 3 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 13 16 20 24 31 42 56 70 79 88 97 108 118 125 131 141 161 192 239 266 301 358 433 509 560 582 612 631 632 660 708 764 811 826 822 781 704 608 512 442 388 329 293 242 202 186 170 156 158 164 144 100 78 96 95 92 105 130
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